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CBSE Class 12-science Answered

Draw a sketch of the curves y = sin x and y = cos x at and find the area of the region enclosed by them and X-axis.

Asked by Topperlearning User | 12 Aug, 2016, 10:30: PM

Expert Answer

The region is divided into two parts, one from x = 0 to and second from to x = .But the region is symmetric about x=∏/4 so the required area is

2 asterisk times integral subscript 0 superscript pi divided by 4 end superscript C 1 d x

2 asterisk times integral subscript 0 superscript pi divided by 4 end superscript sin left parenthesis x right parenthesis d x 2 asterisk times left square bracket negative cos left parenthesis x right parenthesis right square bracket subscript 0 superscript pi divided by 4 end superscript 2 asterisk times left square bracket 1 minus 1 divided by square root of 2 right square bracket 2 minus square root of 2

The required area is 2-

square root of 2 s q space u n i t

Answered by | 13 Aug, 2016, 12:30: AM

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ANSWERED BY EXPERT

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